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- A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.6. Spinning Ice Skater: A 50 kg ice skater is spinning around at 2 revolutions per second with her arms tucked in. You may consider her to be a cylinder 1.5 meters high with a radius of 15 cm. She sticks her arms straight out to slow herself down. Each of her arms is 2 kg and 75 cm long. How fast does she rotate with her arms extended?An object on the Earth has a center of gravity that is 6.0 cm above its base. If the same object was taken to the Moon, where the acceleration due to gravity is 1/6th the value on Earth, how far above the base (cm) would the center of gravity be? O 6.0 O 15 O 3.0 O 2.4 O 36 O 8.4 O 3.6 O 1.0
- 4. A pottery wheel of radius 20cm and mass M is freely rotating about an axis through its center at 87 rads/s. A blob of very dense clay of mass 5kg is gently placed on the spinning wheel halfway up its radius (i.e. 10cm from the axis of rotation). This causes the rate of rotation of the pottery wheel to drop to 7.8a rads/s. You can treat the pottery wheel as a uniform disk and the blob of clay as a point particle. The moment of inertia of a disk about an axis through its center is given by I = MR. (a) Write down expressions for the angular momentum of the system before and after the blob has been placed on the wheel. (b) Hence, find the mass M of the pottery wheel.WEE21 2(0.ss 26.ss) O= 400,9 %3D 6) .2m 2 metal disks, one with radius 20 cm and mass 0.5 kg, and the other with radius Sm 50 cm and mass 1 kg, are welded together and mounted on a frictionless axis through their common center. A light string is wrapped around the edge of the smaller disk, and a 1.50 kg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.40 m above the floor, what is its speed just before it strikes the floor? answer in m/s, use g=10 m/s? laib totion ed R2 不 R 1.50 kg a) 2,32 b) 3,84 C) 8,41 d) 4.47A tennis ball, starting from rest, rolls down the hill in the figure. At the end of the hill the ball becomes airborne, leaving at an angle of 35° with respect to the ground. Treat the ball as a thin-walled spherical shell, and determine the range x. Number i eTextbook and Media Save for Later 12 W S #3 1.8 m 135 Units Attempts: 0 of 3 used Submit Answer APR 2 tv I all A 80 F3 a F4 E $ 14 95 F5 MacBook Air % 50 6 C F6 27 & < F7 R T Y U D F G H * 00 8 DII F8 D F9 ( 9 O A F10 F11 t O { P [ J K L X C V B N M H command ? H command option